(2cos^2a-1 )/(1-2sin^2a)

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(2cos^2a-1)/(1-2sin^2a)(2cos^2a-1)/(1-2sin^2a)(2cos^2a-1)/(1-2sin^2a)(2cos^2a-1)/(1-2sin^2a)=(cos^2a

(2cos^2a-1 )/(1-2sin^2a)
(2cos^2a-1 )/(1-2sin^2a)

(2cos^2a-1 )/(1-2sin^2a)
(2cos^2a-1 )/(1-2sin^2a)
= (cos^2a - sin^2a) / (cos^2a - sin^2a)
= 1

(2cos^2a-1 )/(1-2sin^2a)
=(2cos^2a-cos^2a-sin^2a)/(sin^2a+cos^2a-2sin^2a)
=(cos^2a-sin^2a)/(cos^2a-sin^2a)
=1
将1=sin^2a+cos^2a带入